Dissipation-consistent modelling and classification of extended plasticity formulations

McBride, A.T. , Reddy, B.D. and Steinmann, P. (2018) Dissipation-consistent modelling and classification of extended plasticity formulations. Journal of the Mechanics and Physics of Solids, 119, pp. 118-139. (doi:10.1016/j.jmps.2018.06.002)

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Abstract

A unified classification framework for models of extended plasticity is presented. The models include well known micromorphic and strain-gradient plasticity formulations. A unified treatment is possible due to the representation of strain-gradient plasticity within an Eringen-type micromorphic framework. The classification is based on the form of the energetic and dissipative model structures and exploits the framework of dissipation-consistent modelling to elucidate the flow relation and yield condition. Models are identified as either serial or parallel. This designation is also applicable to familiar models of classical plasticity. Particular attention is paid to the rate-dependent problem arising from the choice of a smooth dissipation potential. The inability to locally determine the region of admissible stresses for the non-smooth (rate-independent) parallel models of plasticity is made clear.

Item Type:Articles
Additional Information:BDR acknowledges the support of the National Research Foundation of South Africa through the South Africa Research Chair in Computational Mechanics. PS thanks the German Research Foundation (DFG) for funding his research through the Collaborative Research Centre 814 and the Priority Programme 2013.
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:McBride, Dr Andrew and Steinmann, Professor Paul
Authors: McBride, A.T., Reddy, B.D., and Steinmann, P.
College/School:College of Science and Engineering > School of Engineering > Infrastructure and Environment
Journal Name:Journal of the Mechanics and Physics of Solids
Publisher:Elsevier
ISSN:0022-5096
ISSN (Online):0022-5096
Published Online:06 June 2018
Copyright Holders:Copyright © 2018 The Authors
First Published:First published in Journal of the Mechanics and Physics of Solids 119:118-139
Publisher Policy:Reproduced under a Creative Commons License
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Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
3001290Strategic Support Package: Engineering of Active Materials by Multiscale/Multiphysics Computational MechanicsChristopher PearceEngineering and Physical Sciences Research Council (EPSRC)EP/R008531/1ENG - Infrastructure & Environment